Consider the parametric equations x= cos t, y = sin t, 0sts 2n. a. What curve do the points of these equations live on? b. What is the slope of the tangent line to this curve when t= T1/4? c. When is the slope of the tangent line zero?

Consider the parametric equations below. x = 4 + 5t, y = 5-t² (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.

Write the parametric equations x = 4 sin? 0, y = 5 cos? 0 %D in the given Carteslan form. y: with 0 < x < 4.

Consider the following parametric curve. Answer parts a and b. 1 + — ₁ y=t-7√₁t=1 x=t+ b. Make a sketch of the curve showing the tangent line at the point corresponding to the given value of t. In each graph below, the blue dotted line is the tangent line and the red line is the curve. Choose the correct graph below. O A. Q OB. Ay O D. Ау